Greatest Common Factor of 57/70, 36/14, 624/74

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 57/70, 36/14, 624/74

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 57/70,36/14,624/74

Given fractions are 57/70,36/14,624/74

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 57,36,624

Greatest Common Factor of Numerators i.e. GCF of 57,36,624 is 3 .

LCM of Denominators means LCM of 70,14,74 as per the given fractions.

LCM of 70,14,74 is 2590 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 57,36,624

GCF of Fractions 57/70,36/14,624/74 is 3/2590

3 57, 36, 624
19, 12, 208

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 57,36,624 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,36,624 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Greatest Common Factor

We found the factors 57,36,624 . The biggest common factor number is the GCF number.
So the greatest common factor 57,36,624 is 3.

Lets's calculate LCM of 70,14,74

2 70, 14, 74
7 35, 7, 37
5, 1, 37

∴ So the LCM of the given numbers is 2 x 7 x 5 x 1 x 37 = 2590

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2590

Therefore, the GCF of Fractions 57/70,36/14,624/74 is 3/2590

Least Common Multiple of 70,14,74 with GCF Formula

Least Common Multiple of 70,14,74 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 70,14,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,14,74) = 2

common factors(in case of two or more numbers have common factors) = 14

GCF(70,14,74) x common factors =2 x 14 = 28

LCM(70,14,74) = ( 70 × 14 × 74 ) / 28

LCM(70,14,74) = 72520 / 28

LCM(70,14,74) = 2590


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 57/70, 36/14, 624/74

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 57/70, 36/14, 624/74?

Answer: GCF of Numerators as per given numbers 57/70, 36/14, 624/74 is

GCF of Numerators i.e. for 57,36,624 is 3

LCM of denominators i.e. for 70,14,74 is 2590.

Thus, GCF of Fractions is 3/2590.Finally, GCF of Fractions for 57/70, 36/14, 624/74 is 3/2590.